Kostka Polynomials and Energy Functions in Solvable Lattice Models
Atsushi Nakayashiki, Yasuhiko Yamada
Abstract
The relation between the charge of Lascoux-Schuzenberger and the energy function in solvable lattice models is clarified. As an application, A.N.Kirillov's conjecture on the expression of the branching coefficient of sln/sln as a limit of Kostka polynomials is proved.
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